508506840 has 192 divisors, whose sum is σ = 1705860000. Its totient is φ = 131315712.

The previous prime is 508506833. The next prime is 508506847. The reversal of 508506840 is 48605805.

It is a happy number.

508506840 is a `hidden beast` number, since 508 + 50 + 68 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (508506833) and next prime (508506847).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 508506795 and 508506804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (508506847) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1890226 + ... + 1890494.

Almost surely, 2^508506840 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 508506840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (852930000).

508506840 is an abundant number, since it is smaller than the sum of its proper divisors (1197353160).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

508506840 is a wasteful number, since it uses less digits than its factorization.

508506840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 434 (or 427 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The square root of 508506840 is about 22550.0962303933. The cubic root of 508506840 is about 798.1764925170.

The spelling of 508506840 in words is "five hundred eight million, five hundred six thousand, eight hundred forty".